GCD of 204, 372, 699 Calculator

Given Input numbers are 204, 372, 699

In the factoring method, we have to find the divisors of all numbers

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (204, 372, 699) = 3.

Given numbers are 204, 372, 699

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 204, 372, 699 is 3.

Given numbers are 204, 372, 699

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(204, 372) = 6324

GCD(204, 372) = ( 204 x 372 ) / 6324

= 204 / 372

= 204

Step2:

LCM(12, 699) = 2796

GCD(12, 699) = ( 12 x 699 ) / 2796

= 12 / 699

= 12

So, Greatest Common Divisor of 204, 372, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 721, 447
• GCD of 576, 413, 172
• GCD of 699, 800, 781
• GCD of 977, 163, 471
• GCD of 670, 274, 725

Given numbers are 204, 372, 699
The greatest common divisor of numbers 204, 372, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 372, 699 is 3.

1. What is the GCD of 204, 372, 699?

GCD of given numbers 204, 372, 699 is 3

2. How to calculate the greatest common divisor of 204, 372, 699?

We can find the highest common divisor of 204, 372, 699 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 204, 372, 699 i.e 3.

3. How can I use the GCD of 204, 372, 699Calculator?

Out the numbers 204, 372, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.